Answer:
<em>C = -5</em>
Step-by-step explanation:
<u>Functions</u>
F(x) is defined as:
![\displaystyleF(x)=\frac{C-x}{D-x}](https://tex.z-dn.net/?f=%5CdisplaystyleF%28x%29%3D%5Cfrac%7BC-x%7D%7BD-x%7D)
We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:
D - (-2) = 0
Solving:
D = -2
Substituting:
![\displaystyleF(x)=\frac{C-x}{-2-x}](https://tex.z-dn.net/?f=%5CdisplaystyleF%28x%29%3D%5Cfrac%7BC-x%7D%7B-2-x%7D)
We also know F(-1) = 4:
![\displaystyle \frac{C-(-1)}{-2-(-1)}=4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BC-%28-1%29%7D%7B-2-%28-1%29%7D%3D4)
![\displaystyle \frac{C+1}{-2+1}=4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BC%2B1%7D%7B-2%2B1%7D%3D4)
![\displaystyle \frac{C+1}{-1}=4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BC%2B1%7D%7B-1%7D%3D4)
Multiplying by -1
C + 1 = -4
Solving for C:
C = -5
Answer:
k = 2/-3
Step-by-step explanation:
y = kx
Point: (-3, 2)
2 = k(-3)
k = 2/-3
k = -0.6
Answer:
c
Step-by-step explanation:
Because
is 1 the equation turns into...
which equals...
![c^{1}](https://tex.z-dn.net/?f=c%5E%7B1%7D)
and
is just c
Answer:
15
Step-by-step explanation:
Fiona (F) = Sushi (S)
Malachy (M) = 7 Fiona (F)
M = F + 90
F + 90 = 7F
6F = 90
F (Fiona) = 15
S (Sushi) = 15
check: Malachy (M) = 15 * 7 = 105
M-F = 105 - 15 = 90
We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0